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Simplifying 4(x + 9) = -3(2x + -9) + 4x Reorder the terms: 4(9 + x) = -3(2x + -9) + 4x (9 * 4 + x * 4) = -3(2x + -9) + 4x (36 + 4x) = -3(2x + -9) + 4x Reorder the terms: 36 + 4x = -3(-9 + 2x) + 4x 36 + 4x = (-9 * -3 + 2x * -3) + 4x 36 + 4x = (27 + -6x) + 4x Combine like terms: -6x + 4x = -2x 36 + 4x = 27 + -2x Solving 36 + 4x = 27 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 36 + 4x + 2x = 27 + -2x + 2x Combine like terms: 4x + 2x = 6x 36 + 6x = 27 + -2x + 2x Combine like terms: -2x + 2x = 0 36 + 6x = 27 + 0 36 + 6x = 27 Add '-36' to each side of the equation. 36 + -36 + 6x = 27 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = 27 + -36 6x = 27 + -36 Combine like terms: 27 + -36 = -9 6x = -9 Divide each side by '6'. x = -1.5 Simplifying x = -1.5
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